Electronic Proceedings of the Twentyfifth Annual International Conference on Technology in Collegiate MathematicsBoston, Massachusetts, March 2124, 2013Paper S132
This is an electronic reprint, reproduced by permission of Pearson Education Inc. Originally appeared in the Proceedings of the Twentyfifth Annual International Conference on Technology in Collegiate Mathematics, ISBN10: 0133866726, Copyright (C) 2014 by Pearson Education, Inc. 
Exploring Mathematical Aspects of Algorithms for Challenging Topics in Numerical Analysis 
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Mathematical models and numerical algorithms are explored for several technological challenges in physics, chemistry, aerothermodynamics, and evolution of dynamic systems in economics and weather forecast. Various mathematical concepts are examined to evaluate multifold integrals, dynamics of strange attractors, and solutions of differential equations with small parameters at the highest derivatives.
Keyword(s): numerical methods, dynamical systems, applications, differential equations